2019 CIME I Problems/Problem 8

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In parallelogram $ABCD,$ the circumcircle of $\triangle BCD$ has center $O$ and intersects lines $AB$ and $AD$ at $E$ and $F,$ respectively$.$ Let $P$ and $Q$ be the midpoints of $AO$ and $BD,$ respectively$.$ Suppose that $PQ=3$ and the height from $A$ to $BD$ has length $7.$ Find the value of $BF \cdot DE.$

See also

2019 CIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All CIME Problems and Solutions

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